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# Homework Assignment #4: Propositional Logic. PHIL200_s12_hw_4 (Essay Sample)

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I'll attach 2 papers of the instructions please follow them exactly. PHIL200_s12_hw_4.pdf source..
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HOMEWORK ASSIGNMENT #4: PROPOSITIONAL LOGIC
Name:
Grade Course: PHIL 200:
Tutor’s Name:
(10 March 2012)
Homework Assignment #4: Propositional Logic
Part I
Instructions: Translate each of the following statements into symbolic form. Use the letters given in parentheses for the symbolization.
1. Your ice is not cold. (I)

2. My car does not look great, but it gets great gas mileage. (C, M)
C¬M
3. Either candy or tobacco is bad for your teeth. (C, T)
¬C ¬T
4. Toothpaste is good for your teeth, but tobacco is not. (T, B)
T ∧, ¬B
5. Driving too fast is hazardous to your health; also driving without buckling up. (F, B)
F∧, ¬B
6. Lava lamps are distracting while music in the background is soothing. (L, M)
L ∧, M ∧
7. Unless you stop eating too much pepperoni, you will develop a stomach ulcer. (S, U)
¬ S U ∧
8. Citizen Kane did not win the Academy Award for best picture, but it is still the greatest movie ever made. (C, G)
C ¬, G ∧
Part II
Instructions: For each of the following questions you are given a statement and truth-value assignment.
(A) translate the statement into symbolic form; (B) use the truth-value assignment to determine whether the statement is true or false.
9. My car is fast, if it has a turbocharger.
X = My car is fast.
Y = My car has a turbocharger.
Let X = False, Y = True.
a. X ∧, Y∧
b
X
Y
X ∧ Y
T
T
T
T
F
F
F
T
T
F
F
T
10. My car is not fast, unless it has a turbocharger.
X = My car is fast.
Y = My car has a turbocharger.
Let X = False, Y = False.
a. ¬X¬Y
b.
X
Y
¬X ¬ Y
T
T
T
T
F
F
F
T
F
F
F
F
Part III
Instructions: (A) Identify the main logical connective in each of the following symbolic statements. (B) Assuming P is true, Q is false, and R is true; determine the truth-value of each symbolic statement.
11. R & (¬P v Q) (and, not, or)
P =T, Q = F, and R = T
= T, F, & F
Statement is false
12...
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